State if true or false: a) If g(x + 2) = f(x), then the g-curve lies to the right of the f-curve b) If g(2x) = f(3x), then g(x) is a horizontal compression of the f-curve by a factor of 2/3. c) If g(x) is a transformation of f(x) such that f(x) reflects across the x-axis, compresses vertically by a factor of 1/3, reflects across the y-axis, expands horizontally by a factor of 3, then 3g (x) = -f(-¾x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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State if true or false:

a) If g(x + 2) = f(x), then the g-curve lies to the right of the f-curve

b) If g(2x) = f(3x), then g(x) is a horizontal compression of the f-curve by a factor of 2/3.

c) If g(x) is a transformation of f(x) such that f(x) reflects across the x-axis, compresses vertically by a factor of 1/3, reflects across the y-axis, expands horizontally by a factor of 3, then 3g (x) = -f(-¾x).

 

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